20210987076000 has 576 divisors, whose sum is σ = 77112368686080. Its totient is φ = 4614185318400.

The previous prime is 20210987075971. The next prime is 20210987076011. The reversal of 20210987076000 is 67078901202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507424086 + ... + 507463914.

It is an arithmetic number, because the mean of its divisors is an integer number (133875640080).

Almost surely, 2^{20210987076000} is an apocalyptic number.

20210987076000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210987076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556184343040).

20210987076000 is an abundant number, since it is smaller than the sum of its proper divisors (56901381610080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20210987076000 is a wasteful number, since it uses less digits than its factorization.

20210987076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40734 (or 40709 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 20210987076000 in words is "twenty trillion, two hundred ten billion, nine hundred eighty-seven million, seventy-six thousand".